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29 October, 15:41

Ruben bought 6 new books for his collection. This increased his collection by 12%. How many books does he have now?

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  1. 29 October, 15:46
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    Let's create a variable to represent the size of Ruben's book collection prior to his buying the new books.

    B = number of books in Ruben's collection before buying new ones

    So, we know that when he bought 6 books, this increased his collection by 12%.

    12% of his book collection would be represented by 0.12B. Therefore, we know that:

    0.12B = 6

    Divide both sides by 0.12, to get to B = 50.

    However, you are being asked how many books does he have now. B represents the number of books he had before. Therefore you want to add back the 6 books he just bought.

    The answer is 50 + 6 = 56
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